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If \(log_{10}(3x-1) + log_{10}4 = log_{10}(9x+2)\), find the value of x 

Further Mathematics
WAEC 2022

If \(log_{10}(3x-1) + log_{10}4 = log_{10}(9x+2)\), find the value of x 

  • A. \(\frac{1}{3}\)
  • B. 1
  • C. 2
  • D. 3
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Correct Answer: Option C
Explanation

\(log_{10}(3x - 1) + log_{10}4 = log_{10}(9x+2)\)

\(log_{10}4(3x-1) = log_{10}(9x+2)\)

4(3x - 1) = 9x + 2

12x - 4 = 9x + 2

12x - 9x = 2 + 4

3x = 6

x = 2


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